{ "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.7" }, "orig_nbformat": 2, "kernelspec": { "name": "python387jvsc74a57bd0752579dbebe7f4dfe7c1aa72eac13e23fc88be2cc1ea7ab14e1f8d69b2d97d12", "display_name": "Python 3.8.7 64-bit ('3.8')" } }, "nbformat": 4, "nbformat_minor": 2, "cells": [ { "source": [ "# Complex Systems 2021\n", "\n", "Charel Felten" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from IPython.display import clear_output, HTML\n", "from matplotlib import animation, rc; rc('animation', html='jshtml')\n", "import math" ] }, { "source": [ "## 1D Cellular Automata" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "def rulegen(num, r=1):\n", " states = [tuple([int(d) for d in f\"{bin(i)[2:]:0>3}\"]) for i in reversed(range(2**(2*r+1)))]\n", " rule = [int(d) for d in f\"{bin(num)[2:]:0>{(2**(2*r+1))}}\"]\n", " return {s:d for s,d in zip(states, rule)}\n", " return dic" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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}, "metadata": { "needs_background": "light" } } ], "source": [ "N = 100\n", "\n", "for R in [30,99,110,150,45]:\n", "# for R in np.random.randint(0,255,size=20):\n", "# for R in range(256):\n", " F = rulegen(R)\n", " M = np.zeros((N//2,N))\n", " M[0,N//2] = 1\n", " for rowi in range(0,(N//2)-1):\n", " for coli in range(0,N):\n", " M[rowi+1, (coli+1)%N] = F[\n", " M[rowi,(coli)%N],\n", " M[rowi,(coli+1)%N],\n", " M[rowi,(coli+2)%N],\n", " ]\n", "\n", " plt.figure(figsize=(7,7))\n", " plt.title(f\"Rule R{R}\")\n", " plt.imshow(M, interpolation=\"none\", cmap=\"Greys\")\n", " plt.show()" ] }, { "source": [ "## Game of Life" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "\n", "N = 100\n", "I = 100\n", "W = np.zeros((N,N))\n", "W[1:8, 1:38] = 1\n", "\n", "fig, ax = plt.subplots()\n", "im = ax.imshow(W, interpolation=\"none\", cmap=\"Greys\")\n", "\n", "def update(W, i,j):\n", " # neighbours = W[max(i-1,0):min(i+2,N), max(j-1,0):min(j+2,N)].flatten()\n", " neighbours = [\n", " W[(i+1)%N, (j+1)%N],\n", " W[(i+1)%N, (j-1)%N],\n", " W[(i+1)%N, (j )%N],\n", " W[(i-1)%N, (j+1)%N],\n", " W[(i-1)%N, (j-1)%N],\n", " W[(i-1)%N, (j )%N],\n", " W[(i )%N, (j+1)%N],\n", " W[(i )%N, (j-1)%N],\n", " ]\n", " count = sum(neighbours)\n", " if count < 2: W[i,j] = 0\n", " elif count == 3: W[i,j] = 1\n", " elif count > 3: W[i,j] = 0\n", "\n", "def animate(t):\n", " for i in range(N):\n", " for j in range(N):\n", " update(W, i, j)\n", " im.set_array(W)\n", " ax.set_title(t)\n", " return (im,)\n", "\n", "anim = animation.FuncAnimation(fig, animate, frames=range(I), blit=True, interval=20)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": "\n\n\n\n\n\n
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\n" 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}, "metadata": { "needs_background": "light" } } ], "source": [ "f = lambda x, mu: mu*x*(1-x)\n", "N = 40\n", "\n", "for mu, x0 in [\n", " (2.8, 0.2),\n", " (0.8, 0.7),\n", " (4, 0.2),\n", "]:\n", " x = x0\n", " X = np.linspace(0,1,N)\n", " FX = f(X, mu)\n", " Y = np.zeros(N)\n", " for i in range(N):\n", " x = f(x, mu)\n", " Y[i] = x\n", "\n", " fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4))\n", "\n", " ax1.plot(X, FX, color=\"black\", linestyle=\"--\", label=\"y = logisticmap(x)\")\n", " ax1.plot(X, X, color=\"black\", linestyle=\":\", label=\"y = x\")\n", " # ax1.plot(Y, np.roll(Y, -1), \".-\")\n", " ax1.grid(alpha=0.2)\n", " # ax1.legend()\n", "\n", " # Code to generate cobweb plot\n", " # Source: https://scipython.com/blog/cobweb-plots/\n", " # is a bit more complicated because we want to plot straight lines between points\n", " # so for each x and y point we have to specify another x and y just to get a straight line\n", " # generate 2 arrays with (N+1) rows and 2 columns\n", " px, py = np.zeros((2,N+1,2))\n", " px[0], py[0] = x0, 0\n", " for i in range(1, N, 2):\n", " px[i] = px[i-1] # x is the previous x\n", " py[i] = f(px[i-1], mu) # y is f(previous x)\n", " px[i+1] = py[i] # next x is current y\n", " py[i+1] = py[i] # next y is current y\n", "\n", " # Plot the path traced out by the iteration.\n", " ax1.plot(px, py, \".-\", color=\"C0\", alpha=0.5)\n", "\n", " ax1.set_xlabel(\"x\")\n", " ax2.set_xlabel(\"n\")\n", " ax2.set_ylabel(\"$x_n$\")\n", "\n", " ax2.plot(Y, \".-\", color=\"C0\", alpha=0.5)\n", " ax2.grid(alpha=0.2)\n", " fig.suptitle(f\"x={x0}, μ={mu}\")\n", " plt.tight_layout()\n", " plt.show()" ] }, { "source": [ "## Logistic Bifurcation Diagram" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\n\n\n\n \n \n \n \n 2021-06-05T16:08:42.176614\n image/svg+xml\n \n \n Matplotlib v3.3.1, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n", "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "N = 100\n", "lastX = 30\n", "M = 2000\n", "\n", "mus = np.array([[x]*lastX for x in np.linspace(2.5,4,M)])\n", "periods = np.empty((M, lastX))\n", "\n", "for i in range(M):\n", " mu = mus[i,0]\n", " x = 0.1\n", " Y = np.empty(N)\n", " for j in range(N):\n", " x = f(x, mu)\n", " Y[j] = x\n", " uni = np.unique(np.round(Y[-lastX:],3))\n", " periods[i] = np.pad(\n", " uni, (0, lastX-uni.shape[0]), \n", " \"constant\", constant_values=(np.nan)\n", " )\n", "\n", "plt.figure(figsize=(10,5))\n", "plt.scatter(mus, periods, s=1, alpha=0.2)\n", "plt.ylabel(\"Number of periods\")\n", "plt.xlabel(\"$\\mu$\")\n", "plt.grid(linestyle=\"--\", alpha=0.4)\n", "plt.show()" ] }, { "source": [ "## Lyapunov Exponent" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "M = 1000\n", "N = 100\n", "x0 = 0.2\n", "\n", "df = lambda x, mu: mu - 2*mu*x\n", "\n", "mus = np.linspace(2.8,4,M)\n", "lambdas = np.empty((M))\n", "\n", "for i in range(M):\n", " mu = mus[i]\n", " x = x0\n", " Y = np.empty(N)\n", " for j in range(N):\n", " x = f(x, mu)\n", " Y[j] = x\n", " λ = (1/N) * sum([math.log(abs(df(xi, mu))) for xi in Y])\n", " lambdas[i] = λ\n", "\n", "plt.figure(figsize=(10,5))\n", "plt.plot(mus, lambdas)\n", "plt.grid(linestyle=\"--\", alpha=0.4)\n", "plt.ylabel(\"Lyapunov Expoenent ($\\lambda$)\")\n", "plt.xlabel(\"$\\mu$\")\n", "plt.plot(mus, np.zeros_like(mus), \"--\", color=\"black\", alpha=0.5)\n", "plt.show()" ] }, { "source": [ "## Power Laws" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" } }, { "output_type": "stream", "name": "stdout", "text": [ "Exponential is linear in log-linear plot, Power-law is linear in log-log plot\nExponential decays faster (halves each iteration when c=0.5) then power law\n" ] } ], "source": [ "exp = lambda x, c: c**x\n", "pwl = lambda x, c: x**c\n", "\n", "c = 0.5\n", "X = np.linspace(1, 100, 100)\n", "EXPX = exp(X, 0.95)\n", "PWLX = pwl(X, -0.5)\n", "\n", "fig, (ax1, ax2, ax3, ax4) = plt.subplots(nrows=1, ncols=4, figsize=(16, 4))\n", "\n", "ax1.set_title(\"linear-linear\")\n", "\n", "ax2.set_title(\"log-linear\")\n", "ax2.set_yscale(\"log\")\n", "\n", "ax3.set_title(\"linear-log\")\n", "ax3.set_xscale(\"log\")\n", "\n", "ax4.set_title(\"log-log\")\n", "ax4.set_yscale(\"log\")\n", "ax4.set_xscale(\"log\")\n", "\n", "for ax in (ax1, ax2, ax3, ax4):\n", " ax.plot(EXPX, label=\"exponential\")\n", " ax.plot(PWLX, label=\"power law\")\n", " ax.legend()\n", " ax.grid(linestyle=\"--\", alpha=0.4)\n", "\n", "plt.suptitle(\"Exponential decay vs PowerLaw decay\")\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(\"Exponential is linear in log-linear plot, Power-law is linear in log-log plot\")\n", "print(\"Exponential decays faster (halves each iteration when c=0.5) then power law\")" ] }, { "source": [ "## Network Giant Component Phase transition" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\n\n\n\n \n \n \n \n 2021-06-05T15:45:07.377469\n image/svg+xml\n \n \n Matplotlib v3.3.1, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n" 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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "f = lambda s, avgk: 1 - np.exp(-avgk*s)\n", "N = 40\n", "\n", "for avgk, s0 in [\n", " (0.5, 0.5),\n", " (1.0, 0.5),\n", " (1.5, 0.2),\n", " (1.5, 0.7),\n", "]:\n", " s = s0\n", " S = np.linspace(0,1,N)\n", " FS = f(S, avgk)\n", " Y = np.zeros(N)\n", " for i in range(N):\n", " s = f(s, avgk)\n", " Y[i] = s\n", "\n", " fig, (ax1, ax2) = plt.subplots(nrows=1, ncols=2, figsize=(8, 4))\n", "\n", " ax1.plot(S, FS, color=\"black\", linestyle=\"--\", label=\"y = f(x)\")\n", " ax1.plot(S, S, color=\"black\", linestyle=\":\", label=\"y = x\")\n", " # ax1.plot(Y, np.roll(Y, -1), \".-\")\n", " ax1.grid(alpha=0.2)\n", " # ax1.legend()\n", "\n", " # Code to generate cobweb plot\n", " # Source: https://scipython.com/blog/cobweb-plots/\n", " # is a bit more complicated because we want to plot straight lines between points\n", " # so for each x and y point we have to specify another x and y just to get a straight line\n", " # generate 2 arrays with (N+1) rows and 2 columns\n", " px, py = np.zeros((2,N+1,2))\n", " px[0], py[0] = s0, 0\n", " for i in range(1, N, 2):\n", " px[i] = px[i-1] # x is the previous x\n", " py[i] = f(px[i-1], avgk) # y is f(previous x)\n", " px[i+1] = py[i] # next x is current y\n", " py[i+1] = py[i] # next y is current y\n", "\n", " # Plot the path traced out by the iteration.\n", " ax1.plot(px, py, \".-\", color=\"C0\", alpha=0.5)\n", "\n", " ax1.set_xlabel(\"x\")\n", " ax2.set_xlabel(\"n\")\n", " ax2.set_ylabel(\"$x_n$\")\n", "\n", " ax2.plot(Y, \".-\", color=\"C0\", alpha=0.5)\n", " ax2.grid(alpha=0.2)\n", " fig.suptitle(f\"x={s0}, μ={avgk}\")\n", " plt.tight_layout()\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "N = 100\n", "lastX = 30\n", "M = 500\n", "\n", "avgks = np.array([[x]*lastX for x in np.linspace(0,4,M)])\n", "periods = np.empty((M, lastX))\n", "\n", "for i in range(M):\n", " avgk = avgks[i,0]\n", " s = 0.1\n", " Y = np.empty(N)\n", " for j in range(N):\n", " s = f(s, avgk)\n", " Y[j] = s\n", " uni = np.unique(np.round(Y[-lastX:],3))\n", " periods[i] = np.pad(\n", " uni, (0, lastX-uni.shape[0]), \n", " \"constant\", constant_values=(np.nan)\n", " )\n", "\n", "plt.figure(figsize=(10,5))\n", "plt.scatter(avgks, periods, s=1, alpha=0.5)\n", "plt.ylabel(\"probability that a node\\nis connected to GC (S)\")\n", "plt.xlabel(\"average node degree ($$)\")\n", "plt.grid(linestyle=\"--\", alpha=0.4)\n", "plt.show()" ] }, { "source": [ "## Percolation" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 182, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\n\n\n\n \n \n \n \n 2021-06-05T19:00:43.412651\n image/svg+xml\n \n \n Matplotlib v3.3.1, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "N = 100\n", "p = 0.420\n", "L = np.random.random(size=(N,N))\n", "L = np.where(L>p, 1, 0)\n", "\n", "fig, (ax1, ax2, ax3) = plt.subplots(nrows=1, ncols=3, figsize=(12, 4))\n", "ax1.imshow(L, interpolation=\"none\", cmap=\"Greys\")\n", "ax1.set_title(f\"Initial Random map p={p:.3f}\")\n", "\n", "nodeID = 2\n", "\n", "getneighbours = lambda i,j: [(i+1,j), (i,j+1), (i-1,j), (i,j-1)]\n", "\n", "for i in range(N):\n", " for j in range(N):\n", " todo = [(i,j)]\n", " while todo:\n", " (i,j) = todo.pop()\n", " if i == N or j == N or i == -1 or j == -1 or L[i,j] != 1:\n", " continue\n", " else:\n", " L[i,j] = nodeID\n", " todo += getneighbours(i,j)\n", " nodeID += 1\n", "\n", "frequencies = np.bincount(L.flatten())\n", "frequencies[0] = 0\n", "\n", "LT = np.copy(L)\n", "for i, v in enumerate(frequencies):\n", " # iteratively applying w allows later i's to clash with earlier v's and overwrite\n", " # array --> need to give v that is larger than largest possible v\n", " LT = np.where(LT==i, v*(N*N), LT)\n", "LT//=(N*N)\n", "\n", "ax2.imshow(np.log2(LT+1), interpolation=\"none\", cmap=\"hot\")\n", "ax2.set_title(\"Log Cluster size\")\n", "\n", "biggestCluster = frequencies[1:].argmax() + 1\n", "\n", "L = np.where((L>0) & (L!=biggestCluster), 1, L)\n", "L = np.where(L>1, 3, L)\n", "\n", "ax3.imshow(L, interpolation=\"none\", cmap=\"Greys\")\n", "ax3.set_title(\"Largest cluster\")\n", "\n", "plt.show()" ] } ] }